# An Online Secp256k1 Public And Private Key Generator

- An Online Secp256k1 Public And Private Key Generator System
- An Online Secp256k1 Public And Private Key Generator
- An Online Secp256k1 Public And Private Key Generator Model

An Online Secp256k1 Public And Private Key Generator Free To generate an Elliptic Curve private key in PEM format using the secp256k1 curve (which is the one used in Bitcoin): To convert the private key from PEM (human-readable and extended) to a hex format: To retrieve the public key in a hex format: Converts the private key from PEM to DER (binary) format. Secp256k1 was almost never used before Bitcoin became popular, but it is now gaining in popularity due to its several nice properties. Most commonly-used curves have a random structure, but secp256k1 was constructed in a special non-random way which allows for especially efficient computation. An Online RSA Public and Private Key Generator. I was recently in a meeting where a person needed to generate a private and public key for RSA encryption, but they were using a PC (Windows). This is something that is easily done via a terminal using ssh-keygen on Mac and Linux, however on Windows this tool is not easily. When you want to use a key pair which generated by OpenSSL, please follow the instructions: # generate secp256r1 curve EC key pair # Note: openssl uses the X9.62 name prime256v1 to refer to curve secp256r1, so this will generate output% openssl ecparam -genkey -name secp256r1 -out k.pem # print private key and public key% openssl ec -in k.pem -noout -text Private-Key: (256 bit) priv.

## Private and Public Keys

A bitcoin wallet contains a collection of key pairs, each consisting of a private key and a public key. The private key (k) is a number, usually picked at random. From the private key, we use elliptic curve multiplication, a one-way cryptographic function, to generate a public key (K). From the public key (K), we use a one-way cryptographic hash function to generate a bitcoin address (A). In this section we will start with generating the private key, look at the elliptic curve math that is used to turn that into a public key, and finally, generate a bitcoin address from the public key.

## An Online Secp256k1 Public And Private Key Generator System

## Private Keys

A private key is simply a number, picked at random. Ownership and control over the private key is the root of user control over all funds associated with the corresponding bitcoin address. The private key is used to create signatures that are required to spend bitcoins by proving ownership of funds used in a transaction. The private key must remain secret at all times, as revealing it to a third party is equivalent to giving them control over the bitcoins secured by that key.

The private key must also be backed up and protected from accidental loss, since if lost it cannot be recovered and the funds secured by it are forever lost too.

### Generating a private key from a random number

The first and most important step in generating keys is to find a secure source of entropy, or randomness. Creating a bitcoin key is essentially the same as “Pick a number between 1 and 2^256“. The exact method you use to pick that number does not matter as long as it Is not predictable or repeatable.

Bitcoin software uses the underlying operating system’s random number generators to produce 256 bits of entropy (randomness). Usually, the OS random number generator is initialized by a human source of randomness, which is why you may be asked to wiggle your mouse around for a few seconds. For the truly paranoid, nothing beats dice, pencil and paper.

### How to see all keys

All Bitcoin private keys is simply an integer between number 1 and 115792089237316195423570985008687907852837564279074904382605163141518161494337 or HEX: from 1 to 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141. The integer range of valid private keys is governed by the secp256k1 ECDSA standard used by Bitcoin.

We just generate a range of these integers in sequence, divide into pages and show on each page. **We can't store it and we have not saved database, because it should be biggest base on the world.**

You can find **Private key **in WIF (Wallet Import/Export Format) and compressed key. **Bitcoin addresses ** in **compressed/ uncompressed** formats, **SegWit** (P2SH-P2WPKH) and **native Segwit (**P2WPKH) addesses start *bc1*, **Pay to script hash** (P2SH) starting with 3; **legacy Bitcoin Cash **addresses and **new format.**

After we explained in details how the **ECDSA signature **algorithm works, now let's demonstrate it in practice with **code examples**.

In this example, we shall use the `pycoin`

Python package, which implements the **ECDSA signature algorithm** with the curve `secp256k1`

(used in the Bitcoin cryptography), as well as many other functionalities related to the Bitcoin blockchain:

## ECDSA Sign / Verify using the secp256k1 Curve and SHA3-256

First, define the functions for **hashing**, ECDSA **signing** and ECDSA **signature verification**:

The hashing function `sha3_256Hash(msg)`

computes and returns a **SHA3-256** hash, represented as 256-bit integer number. It will be used in the sign / verify processes later.

The `signECDSAsecp256k1(msg, privKey)`

function takes a text **message** and 256-bit secp256k1 **private key** and calculates the ECDSA **signature** {* r*,

*} and returns it as pair of 256-bit integers. The ECDSA signature, generated by the*

**s**`pycoin`

library by default is **deterministic**, as described in

**RFC 6979**.

The `verifyECDSAsecp256k1(msg, signature, pubKey)`

function takes a text **message**, a ECDSA **signature** {* r*,

*} and a 2*256-bit ECDSA*

**s****public key**(uncompressed) and returns whether the signature is

**valid**or not.

Now let's demonstrate the above defined functions to **sign** a message and **verify** its signature:

Run the above code example: https://repl.it/@nakov/ECDSA-sign-verify-in-Python.

The **output** from the above code is like this:

As it is visible from the above output, the random generated **secp256k1 private key **is **64 hex digits** (256 bits). After signing, the obtained signature {* r*,

*} consists of 2 * 256-bit integers. The*

**s****public key**, obtained by multiplying the private key by the curve generator point, consists of 2 * 256 bits (uncompressed). The produced ECDSA digital signature verifies correctly after signing. If the message is tampered, the signature fails to verify.

## Public Key Recovery from the ECDSA Signature

As we already know, in ECDSA it is possible to **recover the public key from signature**. Let's demonstrate this by adding the following code at the end of the previous example:

## An Online Secp256k1 Public And Private Key Generator

Run the above code example: https://repl.it/@nakov/ECDSA-public-key-recovery-in-Python.

The above code recovers the all **possible EC public keys** from the ECDSA **signature** + the signed **message**, using the algorithm, described in http://www.secg.org/sec1-v2.pdf. Note that **multiple EC public keys** (0, 1 or 2) may match the message + signature. The expected output from the above code (together with the previous code) looks like this:

It is obvious that the **recovered possible public keys** are 2: one is equal to the public key, matching the signer's private key, and the other is not (it matches the math behind the public key recovery, but is not the correct one). To avoid this ambiguity, **the signature can be extended** to hold {* r*,

*,*

**s***}, where*

**v***holds the parity of the*

**v***coordinate of the random point*

**y****R**from the ECDSA signing algorithm. This coordinate is lost, because the ECDSA signature takes just the

**x**coordinate or

**R**.

## Public Key Recovery from Extended ECDSA Signature

To **recover with confidence the public key** from ECDSA signature + message, we need a library that generates **extended ECDSA signatures** {* r*,

*,*

**s***} and supports internally the public key recovery. Let's play with the*

**v**`eth_keys`

Python library:The **eth_keys** is part of the Ethereum project and implements **secp256k1**-based ECC cryptography, private and public keys, ECDSA extended signatures {* r*,

*,*

**s***} and Ethereum blockchain addresses. The following example demonstrates private key generation, message signing, public key recovery from signature + message and signature verification:*

**v**Run the above code example: https://repl.it/@nakov/ECDSA-public-key-recovery-extended-in-Python.

The output from the above code looks like this:

## An Online Secp256k1 Public And Private Key Generator Model

The **public key recovery** will always be successful, because there is no ambiguity with the **extended ECDSA signature**. The **signature verification** will be successful, unless the message, the public key or the signature is tampered. You are free to play with the above code, to change it, to tamper the signed message and to see what happens. Enjoy!